Abstract
Low-density parity-check (LDPC) codes can be constructed using constituent block codes other than single parity-check (SPC) codes. This paper considers random LDPC codes with constituent Hamming codes and investigates their asymptotic performance over the binary erasure channel. It is shown that there exist Hamming code-based LDPC codes which, when decoded with a low-complexity iterative algorithm, are capable of correcting any erasure pattern with a number of erasures that grows linearly with the code length. The number of decoding iterations, required to correct the erasures, is a logarithmic function of the code length. The fraction of correctable erasures is computed numerically for various choices of code parameters.
| Original language | English |
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| Publication status | Published - 2008 |
| Event | 11th Int. Workshop on Algebraic and Combinatorial Coding Theory (ACCT08) - Pamporovo, Bulgaria Duration: 2008 Jun 16 → … |
Conference
| Conference | 11th Int. Workshop on Algebraic and Combinatorial Coding Theory (ACCT08) |
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| Country/Territory | Bulgaria |
| City | Pamporovo |
| Period | 2008/06/16 → … |
Subject classification (UKÄ)
- Electrical Engineering, Electronic Engineering, Information Engineering